John D Cook talks here about how the Roman bureaucracy was less than the size of Heuston's. How does the Roman Empire figure compare to a famously bureaucratic empire?

According to recent historians the Byzantine empire did not have that many beaueacrats
'‘In terms of staff numbers the Byzantine bureaucracy was relatively small: a recent estimate for the ninth century central civil service places the number of core staff at five to six hundred men, split between thirteen different bureaux or departments of state’'